84 citations · 342 across the 90 of their papers we have counts for
Showing 2014 · math.OCShow all
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math.OC2014
Error Bounds for Polynomial Optimization over the Hypercube using Putinar type Representations
Victor Magron
Consider the optimization problem , where is a degree multivariate polynomial and is the hypercube. We…
math.OC2014
Approximating Pareto Curves using Semidefinite Relaxations
Victor Magron, Didier Henrion, Jean-Bernard Lasserre
We consider the problem of constructing an approximation of the Pareto curve associated with the multiobjective optimization problem $\min_{\mathbf{x} \in \mathbf{S}}\{ (f_1(\mathb…
math.OC2014★ 5 cited
Certification of Real Inequalities -- Templates and Sums of Squares
Xavier Allamigeon, Stéphane Gaubert, Victor Magron +1
We consider the problem of certifying lower bounds for real-valued multivariate transcendental functions. The functions we are dealing with are nonlinear and involve semialgebraic…